Question

In the given figure, ABCD is parallelogram.
Find x,y and z ​

Answer 1

Answer:

X = 55

Y = 69

Z = 111

Step-by-step explanation:

∠DAB = ∠BCD      (opp. angles of a parallelogram are equal)

125 = 56 + y

y = 69

∠ADC = ∠ABC = x

as sum of all angles of parallelogram is 360,

∠DAB + ∠ABC + ∠BCD + ∠ADC = 360

125 + x + 125 + x = 360

2x = 360 - 250

2x = 110

x = 55

as AECD is a trapezium or a quadrilateral sum of all it's angles is 360

∠DAC + ∠ADC + ∠ECD + ∠AEC = 360

125 + 55 + 69 + Z = 360

Z = 360 - 249

Z = 111

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